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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping
Paper XI.6
Explicit and Implicit Parallel Upwind Monotone Residual Distribution Solver for the Time Dependent Ideal 3D Magnetohydrodynamic Equations on Unstructured Grids A. Csik+#, H. De Sterck+#, M. Ricchiuto+, S. Poedts#, H. Deconinck# and D. Roose*
+von Karman Institute for Fluid Dynamics Brussels, Belgium
A. Csik, H. De Sterck, M. Ricchiuto, S. Poedts, H. Deconinck, D. Roose, "Explicit and Implicit Parallel Upwind Monotone Residual Distribution Solver for the Time Dependent Ideal 3D Magnetohydrodynamic Equations on Unstructured Grids", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 311-323, 2000. doi:10.4203/ccp.66.11.6
Abstract
Monotone multidimensional upwind schemes for the numerical
simulation of Space Weather magnetohydrodynamic
plasma flows are presented. The extension of the steady residual
distribution magnetohydrodynamic schemes to three spatial
dimensions is described. Residual distribution schemes for
time dependent flows are discussed that make use of the Flux
Corrected Transport approach and that are second order accurate
away from discontinuities while retaining positivity. The
schemes are tested on basic flow problems in two and three
dimensions
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